Apollonius <Pergaeus>, Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi : nunc primum editi ; additvs in calce Archimedis assvmptorvm liber, ex codibvs arabicis mss Abrahamus Ecchellensis Maronita latinos reddidit, Jo. Alfonsvs Borellvs curam in geometricis versione contulit & [et] notas vberiores in vniuersum opus adiecit

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[121.] Notæ in Propoſ. LXXVI.
[122.] Notæ in Propoſit. LXXVII.
[123.] COROLLARIVM.
[124.] SECTIO DECIMAQVINTA Continens Propoſ. XXXXI. XXXXII. XXXXIII. Apollonij. PROPOSITIO XXXXI.
[125.] PROPOSITO XXXXII.
[126.] PROPOSITIO XXXXIII.
[127.] Notæ in Propoſ. XXXXI.
[128.] Notæ in Propoſ. XXXXII.
[129.] Notæ in Propoſit. XXXXIII.
[130.] SECTIO DECIMASEXTA Continens XVI. XVII. XVIII. Propoſ. Apollonij.
[131.] Notæ in Propoſit. XVI. XVII. XVIII.
[132.] SECTIO DECIMASEPTIMA Continens XIX. XX. XXI. XXII. XXIII. XXIV. & XXV. Propoſ. Apollonij. PROPOSITIO XIX.
[133.] PROPOSITIO XX. XXI. & XXII.
[134.] PROPOSITIO XXIII. & XXIV.
[135.] PROPOSITIO XXV.
[136.] Notæ in Propoſit. XIX.
[137.] Notæ in Propoſit. XX. XXI. XXII.
[138.] Notæ in Propoſ. XXIII. XXIV.
[139.] Notæ in Propoſ. XXXV.
[140.] SECTIO DECIMAOCTAVA Continens XXXII. XXXIII. XXXIV. XXXV. XXXVI. XXXVII. XXXVIII. XXXIX. XXXX. XXXXVII. XXXXVIII. Propoſit. Apollonij. PROPOSITIO XXXII.
[141.] PROPOSITIO XXXIII. XXXIV.
[142.] PROPOSITIO XXXV.
[143.] PROPOSITIO XXXVI.
[144.] PROPOSITIO XXXVII. XLVI.
[145.] PROPOSITIO XXXVIII.
[146.] PR OPOSITIO XXXIX.
[147.] PROPOSITIO XXXX.
[148.] PROPOSITIO XXXXVII.
[149.] PROPOSITIO XXXXVIII.
[150.] Notæ in Propoſit. XXXII.
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              <pb o="176" file="0214" n="214" rhead="Apollonij Pergæi"/>
              <figure xlink:label="fig-0214-01" xlink:href="fig-0214-01a" number="237">
                <image file="0214-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0214-01"/>
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            tum potentialis I B, vt H L in L O, ſeu L V in L D ad quadratum L
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            D, eò quod quælibet ex dictis proportionibus eadem eſt proportioni fi-
              <lb/>
            guræ K A, & </s>
            <s xml:id="echoid-s6764" xml:space="preserve">M C (39. </s>
            <s xml:id="echoid-s6765" xml:space="preserve">ex 1.)</s>
            <s xml:id="echoid-s6766" xml:space="preserve">, ergo T I ad I B eſt, vt V L ad L D, & </s>
            <s xml:id="echoid-s6767" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0214-01" xlink:href="note-0214-01a" xml:space="preserve">37. lib. 1.</note>
            angulus I, qui æqualis eſt ipſi R A G æqualis eſt angulo L, qui æqualis
              <lb/>
            eſt S C H; </s>
            <s xml:id="echoid-s6768" xml:space="preserve">igitur angulus G æqualis etiam eſt angulo H: </s>
            <s xml:id="echoid-s6769" xml:space="preserve">& </s>
            <s xml:id="echoid-s6770" xml:space="preserve">propterea
              <lb/>
              <note position="left" xlink:label="note-0214-02" xlink:href="note-0214-02a" xml:space="preserve">Propoſ. 2.
                <lb/>
              præmiſſ.</note>
            G A R ſimile eſt H C S, & </s>
            <s xml:id="echoid-s6771" xml:space="preserve">pariter G A P, H C Q ſunt ſimilia, quia P, Q
              <lb/>
            ſunt recti, vnde A P R, C Q S ſunt etiã ſimilia, & </s>
            <s xml:id="echoid-s6772" xml:space="preserve">proportio vniuſcuiuſq;
              <lb/>
            </s>
            <s xml:id="echoid-s6773" xml:space="preserve">eorum, nempe G P, P R ad P A, eſt, vt proportio H Q, S Q ad C Q; </s>
            <s xml:id="echoid-s6774" xml:space="preserve">
              <lb/>
              <note position="right" xlink:label="note-0214-03" xlink:href="note-0214-03a" xml:space="preserve">c</note>
            igitur G P in P R ad quadratum P A, nempe B E ad erectum illius (39.
              <lb/>
            </s>
            <s xml:id="echoid-s6775" xml:space="preserve">ex 1.) </s>
            <s xml:id="echoid-s6776" xml:space="preserve">eſt vt H Q in Q S ad quadratum C Q, nempe D F ad erectum
              <lb/>
            illius (39. </s>
            <s xml:id="echoid-s6777" xml:space="preserve">ex 1.)</s>
            <s xml:id="echoid-s6778" xml:space="preserve">; </s>
            <s xml:id="echoid-s6779" xml:space="preserve">igitur
              <lb/>
              <note position="left" xlink:label="note-0214-04" xlink:href="note-0214-04a" xml:space="preserve">37. lib. 1.</note>
              <figure xlink:label="fig-0214-02" xlink:href="fig-0214-02a" number="238">
                <image file="0214-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0214-02"/>
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            figuræ duorum axiũ ſunt
              <lb/>
            ſimiles, & </s>
            <s xml:id="echoid-s6780" xml:space="preserve">duæ ſectiones
              <lb/>
            ſimiles ſunt (12. </s>
            <s xml:id="echoid-s6781" xml:space="preserve">ex 6.</s>
            <s xml:id="echoid-s6782" xml:space="preserve">(
              <lb/>
            ſed oportet in ellipſi, vt
              <lb/>
            duæ diametri, ideoque
              <lb/>
            duo axes ſint ſimul aut
              <lb/>
            tranſuerſi, aut ſimul re-
              <lb/>
            cti. </s>
            <s xml:id="echoid-s6783" xml:space="preserve">Et hoc erat propoſi-
              <lb/>
            tum.</s>
            <s xml:id="echoid-s6784" xml:space="preserve"/>
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